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author:

Li, D.-F. (Li, D.-F..) [1]

Indexed by:

Scopus

Abstract:

The aim of this note is to point out and correct some vital mistakes in the paper by P K Nayak and M Pal, "Linear programming technique to solve two person matrix (games with interval pay-offs). Asia-Pacific Journal of Operational Research, 26(2), 285-305". Lots of serious mistakes on the definitions, conclusions, models, methods, proofs and computing results have been corrected and modified in this note. We also indicate inappropriate formulations regarding their proposed linear programming models for solving generic matrix games with interval pay-offs and suggest a pair of linear programming models with any minimal acceptance degree of the interval inequality constraints which may be allowed to violate. The lexicographic method is suggested so that a rational and credible solution of the generic matrix game with interval pay-offs can be achieved. © 2011 World Scientific Publishing Co. & Operational Research Society of Singapore.

Keyword:

fuzzy number; interval computation; interval matrix game; Mathematical programming; saddle point

Community:

  • [ 1 ] [Li, D.-F.]School of Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian 350108, China

Reprint 's Address:

  • [Li, D.-F.]School of Management, Fuzhou University, No. 2, Xueyuan Road, Daxue New District, Fuzhou District, Fuzhou, Fujian 350108, China

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Source :

Asia-Pacific Journal of Operational Research

ISSN: 0217-5959

Year: 2011

Issue: 6

Volume: 28

Page: 705-737

0 . 2 5

JCR@2011

1 . 1 0 0

JCR@2023

JCR Journal Grade:4

CAS Journal Grade:4

Cited Count:

WoS CC Cited Count:

SCOPUS Cited Count:

ESI Highly Cited Papers on the List: 0 Unfold All

WanFang Cited Count:

Chinese Cited Count:

30 Days PV: 1

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